Home / 1,413.02-2,120.14-795.80

Finding the Fourth Proportional to 1,413.02, 2,120.14 and 795.80

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Solution

The fourth proportional to 1,413.02, 2,120.14 and 795.80 is: 1,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.02 : 2,120.14 = 795.80 : x
  2. Step 2: Convert to fraction form
    1,413.02/2,120.14 = 795.80/x
  3. Step 3: Cross multiply
    1,413.02x = 2,120.14 × 795.80
  4. Step 4: Simplify right side
    1,413.02x = 1,687,207.41
  5. Step 5: Solve for x
    x = 1,687,207.41/1,413.02
  6. Step 6: Final answer
    x = 1,194.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.